A Course in Commutative Banach Algebras: 246 (Graduate Texts by Eberhard Kaniuth PDF

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By Eberhard Kaniuth

ISBN-10: 0387724753

ISBN-13: 9780387724751

ISBN-10: 1441924795

ISBN-13: 9781441924797

Banach algebras are Banach areas outfitted with a continual multipli- tion. In roughterms,there arethree varieties ofthem:algebrasofboundedlinear operators on Banach areas with composition and the operator norm, al- bras along with bounded non-stop features on topological areas with pointwise product and the uniform norm, and algebrasof integrable capabilities on in the community compact teams with convolution as multiplication. those all play a key function in glossy research. a lot of operator thought is better approached from a Banach algebra standpoint and plenty of questions in complicated research (such as approximation by way of polynomials or rational services in speci?c - mains) are most sensible understood in the framework of Banach algebras. additionally, the learn of a in the neighborhood compact Abelian crew is heavily relating to the examine 1 of the gang algebra L (G). There exist a wealthy literature and perfect texts on every one unmarried classification of Banach algebras, significantly on uniform algebras and on operator algebras. This paintings is meant as a textbook which gives a radical creation to the idea of commutative Banach algebras and stresses the purposes to commutative harmonic research whereas additionally relating uniform algebras. during this experience and objective the booklet resembles Larsen’s classical textual content [75] which stocks many issues and has been a worthwhile source. despite the fact that, for complex graduate scholars and researchers i've got coated a number of themes that have now not been released in books ahead of, together with a few magazine articles.

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A Course in Commutative Banach Algebras: 246 (Graduate Texts in Mathematics) by Eberhard Kaniuth

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